Based on the principle that basic teaching serves the specialty and pays attention to application and ability training, according to the basic knowledge logic of calculus, linear algebra and probability statistics, the knowledge introduction is emphasized and the details are appropriate; The narrative is concise, popular and scientific. At the same time, fully consider the differences of students' mathematics quality in higher vocational colleges, do some research on teaching material learning guidance, and integrate knowledge points into the solution, which not only lays a solid foundation, but also provides readers with room to expand their abilities and challenge themselves, leaving readers with room to continue learning and thinking.